{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Displaying Datasets  <img src='data/images/logo.png' width=50 align='left'> \n",
    "Examples for a few important plotting types in Matplotlib\n",
    "\n",
    "author: Thomas Haslwanter; date: June-2020"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import standard packages\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import scipy.stats as stats\n",
    "import seaborn as sns\n",
    "\n",
    "# Generate the data\n",
    "x = np.random.randn(500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1e10c7b5910>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, '.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(x, bins=25);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the next command two things are changed:\n",
    "* by setting the option *density* to *True*, the frequency histogram is turned into a density histogram (where the sum of all bars equals *1*\n",
    "* and by leaving away the final \";\", the output values are displayed in the Jupyter Notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00755776, 0.        , 0.        , 0.00755776, 0.02267327,\n",
       "        0.01511552, 0.03023103, 0.06801982, 0.12092413, 0.1965017 ,\n",
       "        0.25696377, 0.20405946, 0.20405946, 0.42323444, 0.4307922 ,\n",
       "        0.37788789, 0.37788789, 0.37033013, 0.22673274, 0.17382843,\n",
       "        0.10580861, 0.09069309, 0.02267327, 0.02267327, 0.02267327]),\n",
       " array([-3.92537526, -3.66074651, -3.39611776, -3.13148902, -2.86686027,\n",
       "        -2.60223152, -2.33760277, -2.07297402, -1.80834527, -1.54371652,\n",
       "        -1.27908777, -1.01445902, -0.74983028, -0.48520153, -0.22057278,\n",
       "         0.04405597,  0.30868472,  0.57331347,  0.83794222,  1.10257097,\n",
       "         1.36719972,  1.63182846,  1.89645721,  2.16108596,  2.42571471,\n",
       "         2.69034346]),\n",
       " <a list of 25 Patch objects>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(x, bins=25, density=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Errorbars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<ErrorbarContainer object of 3 artists>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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L3o9+flx/32MAbL/p8j5XIqlbp7sfvWf0i9TOfcPse/Uoj7/8BuvueISd+4b7XZKkOWLQL0I79w2zZccBjo2dAGD46Chbdhww7KWGMugXoTt3H2T07bFT2kbfHuPO3Qf7VJGkuWTQL0KHj47Oql3Smc2gX4TOXb5sVu2SzmwG/SK0ecNqli1dckrbsqVL2LxhdZ8qkjSX/GTsIrRxzfgz3G/79tMcGzvBiuXL2Lxh9TvtkprF6+gXEW+BIDWX19FL0iJm0EtSw7l0I0kNMGdLN0muSnIwyYtJbm/TnyR/1ep/Osll3RzvdHbuG2bdHY9w4e0P+ZF+SZqg46tukiwBvgSsBw4BP0ryYFX9w4RhVwOrWl8fBr7c+t5TJz/Sf/LTnic/0g94JYmkRa+byyvXAi9W1UsASb4FXAdMDPrrgG/U+PrQD5MsT3JOVb3WxXHfcf19j/H4y2+07Rt9e4xbtu/nlu37+fCFv+4dGiUtWt0s3awAfjph/1CrbbZjAEiyKclQkqGRkZEuypIkTdRN0KdN2+S/7M5kzHhj1daqGqyqwYGBgS7KkiRN1M3SzSHg/An75wGHOxjTsZPLMZPX6GH8I/1//snfdo1e0qLXzRn9j4BVSS5M8h7gBuDBSWMeBP6odfXNR4A3e7U+P9HGNSv480/+NiuWLyPAiuXLDHlJaun4jL6qjif5ArAbWALcX1XPJvlsq/9eYBdwDfAi8Cvgj7svub2Na1YY7JLURlc3NauqXYyH+cS2eydsF/D5bo4hSeqOt0CQpIYz6CWp4Qx6SWo4g16SGm5B3r0yyQjwkw5ffjbwsx6W0yvWNTvWNTvWNTtNrOuDVdX206YLMui7kWRoqlt19pN1zY51zY51zc5iq8ulG0lqOINekhquiUG/td8FTMG6Zse6Zse6ZmdR1dW4NXpJ0qmaeEYvSZrAoJekhjsjg34hPZR8lnVdkeTNJPtbX386T3Xdn+RIkmem6O/XfE1XV7/m6/wk/yfJc0meTXJzmzHzPmczrGve5yzJP03yRJKnWnX9tzZj+jFfM6mrL79jrWMvSbIvyXfa9PV2vqrqjPpi/JbI/wj8C+A9wFPAxZPGXAN8l/EnXH0EeHyB1HUF8J0+zNlHgcuAZ6bon/f5mmFd/Zqvc4DLWttnAc8vkN+xmdQ173PWmoP3tbaXAo8DH1kA8zWTuvryO9Y69n8A/rrd8Xs9X2fiGf07DyWvqmPAyYeST/TOQ8mr6ofA8iTnLIC6+qKqHgXaP0V9XD/mayZ19UVVvVZVT7a2fwE8x7ufdTzvczbDuuZdaw5+2dpd2vqafJVHP+ZrJnX1RZLzgN8DvjLFkJ7O15kY9D19KPk81wVweeufkt9N8ltzXNNM9WO+Zqqv85VkJbCG8bPBifo6Z6epC/owZ61liP3AEWBPVS2I+ZpBXdCf37H/AdwGnJiiv6fzdSYGfU8fSt5DMznmk4zfj+IS4IvAzjmuaab6MV8z0df5SvI+4G+BW6rqrcndbV4yL3M2TV19mbOqGquqSxl/LvTaJB+aNKQv8zWDuuZ9vpJcCxypqr2nG9amreP5OhODvu8PJe+0rqp66+Q/JWv86VxLk5w9x3XNRD/ma1r9nK8kSxkP029W1Y42Q/oyZ9PV1e/fsao6Cvxf4KpJXX39HZuqrj7N1zrgE0leYXyJ93eS/K9JY3o6X2di0C+Yh5LPtq4kH0iS1vZaxuf/53Nc10z0Y76m1a/5ah3zq8BzVfWXUwyb9zmbSV39mLMkA0mWt7aXAb8L/HjSsH7M17R19WO+qmpLVZ1XVSsZz4lHqurfThrW0/nq6pmx/VAL7KHks6zrU8DnkhwHRoEbqvUn9rmUZBvjVxecneQQ8GeM/2Gqb/M1w7r6Ml+Mn3H9IXCgtb4L8CfABRNq68eczaSufszZOcDXkyxhPCj/pqq+0+//JmdYV79+x95lLufLWyBIUsOdiUs3kqRZMOglqeEMeklqOINekhrOoJekhjPoJanhDHpJarj/D4UX275WkLQ3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "index = np.arange(5)\n",
    "y = index ** 2\n",
    "errorBar = index/2 # just for demonstration\n",
    "plt.errorbar(index,y, yerr=errorBar, fmt='o',\n",
    "capsize=5, capthick=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Boxplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD8CAYAAABq6S8VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAMEklEQVR4nO3db2hkd73H8c/HaWTFv1s2ULWNKygyMoriIIgBiVZZRRQVwTxQwYE8uqHCvVyVA1aRgCDogyhIIEUfyIigpeIftJWRMuC/WakldXovcrl7Xb0XI91rFQmm69cHTeumm93M5Px2Tr/J+wWBnTOT3/k+eu/hN2cyjggBAPJ6RtMDAADqIeQAkBwhB4DkCDkAJEfIASA5Qg4AydUOue1Ttn9u+1e2H7L96RKDAQAm47r3kdu2pGdHxF9sz0kaSrojIn5aYkAAwPXdVHeBePx/gr/sPZzb++FTRgAwI7VDLkm2W5LOS3qZpC9FxM+u9/ozZ87E2bNnS5waAE6M8+fP/zEi5p96vEjII+KypNfYfoGku213ImLrytfYXpG0IkkLCwsajUYlTg0AJ4btCwcdL3rXSkT8v6QfSzp3wHMbEdGNiO78/FX/oQAAjqjEXSvze1fisv0sSbdLerjuugCAyZTYWnmhpK/u7ZM/Q9I3IuI7BdYFAEygxF0rD0p6bYFZAABHwCc7ASA5Qg5I6vf76nQ6arVa6nQ66vf7TY8ETKzI7YdAZv1+X1VVaXNzU4uLixoOh+r1epKk5eXlhqcDDlf7I/pH0e12g/vI8XTR6XS0vr6upaWlJ48NBgOtrq5qa2vrOr8JzJbt8xHRveo4IcdJ12q1tLOzo7m5uSeP7e7u6tSpU7p8+XKDkwH7XSvk7JHjxGu32xoOh/uODYdDtdvthiYCpkPIceJVVaVer6fBYKDd3V0NBgP1ej1VVdX0aMBEeLMTJ94Tb2iurq5qPB6r3W5rbW2NNzqRBnvkAJDEtfbIuSLHsfb4957ceE1cEAFPIOQ41qYNrG2ijHR4sxMAkiPkAJAcIQeA5Ag5ACRHyAEgOUIOAMkRcgBIjpADQHKEHACSI+QAkFztkNu+zfbA9tj2Q7bvKDEYAGAyJf7WymOS/jUifmn7uZLO2743In5dYG0AwCFqX5FHxP9GxC/3/v1nSWNJL667LgBgMkX3yG2flfRaST8ruS4A4NqKhdz2cyR9U9JHI+LRA55fsT2yPdre3i51WgA48YqE3PacHo/41yLiWwe9JiI2IqIbEd35+fkSpwUAqMxdK5a0KWkcEZ+vPxIAYBolrsjfKOmDkt5s+4G9n3cUWBcAMIHatx9GxFDSbL4YEQBwFT7ZCQDJEXIASI6QA0ByhBwAkiPkAJAcIQeA5Ag5ACRHyAEgOUIOAMkRcgBIjpADQHKEHACSI+QAkBwhB4DkCDkAJEfIASA5Qg4AyRFyAEiOkANAcoQcAJIj5ACQXJGQ277L9h9sb5VYDwAwuVJX5F+RdK7QWgCAKRQJeUTcL+mREmsBAKbDHjkAJDezkNtesT2yPdre3p7VaQHg2JtZyCNiIyK6EdGdn5+f1WkB4NhjawUAkit1+2Ff0k8kvcL2Rdu9EusCAA53U4lFImK5xDoAgOmxtQIAyRFyAEiOkANAcoQcAJIj5ACQHCEHgOSK3H4IzMLNN9+sS5cu3fDz2L6h658+fVqPPMLfmEM5hBxpXLp0SRHR9Bi13ej/KHDysLUCAMkRcgBIjpADQHKEHACSI+QAkBwhB4DkCDkAJEfIASA5Qg4AyRFyAEiOkANAcoQcAJIj5ACQXJGQ2z5n+z9s/8b2x0usCQCYTO2Q225J+pKkt0t6paRl26+suy4AYDIlrshfL+k3EfFfEfE3SV+X9O4C6wIAJlAi5C+W9NsrHl/cOwYAmIES3xB00NedXPU1LrZXJK1I0sLCQoHT4qSJO58nfer5TY9RW9z5vKZHwDFTIuQXJd12xeNbJf3+qS+KiA1JG5LU7Xbzf18XZs6ffvTYfNVbfKrpKXCclNha+YWkl9t+qe1nSvqApG8XWBcAMIHaV+QR8Zjtf5H0A0ktSXdFxEO1JwMATKTE1ooi4nuSvldiLQDAdPhkJwAkR8gBIDlCDgDJEXIASI6QA0ByhBwAkiPkAJAcIQeA5Ag5ACRHyAEgOUIOAMkRcgBIjpADQHKEHACSI+QAkBwhB4DkinyxBDAr9kHf9Z3L6dOnmx4BxwwhRxqz+OJl28fiC55xsrC1AgDJEXIASI6QA0BytUJu+/22H7L9d9vdUkMBACZX94p8S9J7Jd1fYBYAwBHUumslIsbS8bglDACyYo8cAJI79Irc9n2SbjngqSoi7pn0RLZXJK1I0sLCwsQDAgCu79CQR8TtJU4UERuSNiSp2+3yiQsAKIStFQBIru7th++xfVHSGyR91/YPyowFAJhU3btW7pZ0d6FZAABHwNYKACRHyAEgOUIOAMkRcgBIjpADQHKEHACSI+QAkBwhB4DkCDkAJEfIASA5Qg4AyRFyAEiOkANAcoQcAJIj5ACQHCEHgOQIOQAkR8gBIDlCDgDJEXIASI6QA0BytUJu+3O2H7b9oO27bb+g1GAAgMnUvSK/V1InIl4t6T8lfaL+SACAadQKeUT8MCIe23v4U0m31h8JADCNknvkH5H0/Ws9aXvF9sj2aHt7u+BpAeBku+mwF9i+T9ItBzxVRcQ9e6+pJD0m6WvXWiciNiRtSFK3240jTQsAuMqhIY+I26/3vO0PS3qnpLdEBIEGgBk7NOTXY/ucpI9JelNE/LXMSACAadTdI/+ipOdKutf2A7a/XGAmAMAUal2RR8TLSg0CADgaPtkJAMkRcgBIjpADQHKEHACSI+QAkBwhB4DkCDkAJEfIASA5Qg4AyRFyAEiOkANAcoQcAJIj5ACQHCEHgOQIOQAkV+vvkQNPd7Zn8jt8yyGaRMhxrBFYnARsrQBAcoQcAJIj5ACQXK2Q2/6M7QdtP2D7h7ZfVGowAMBk6l6Rfy4iXh0Rr5H0HUmfLDATAGAKtUIeEY9e8fDZkrhFACn1+311Oh21Wi11Oh31+/2mRwImVvv2Q9trkj4k6U+SlmpPBMxYv99XVVXa3NzU4uKihsOher2eJGl5ebnh6YDD+bD7bG3fJ+mWA56qIuKeK173CUmnIuLOa6yzImlFkhYWFl534cKFIw8NlNTpdLS+vq6lpX9ehwwGA62urmpra6vByYD9bJ+PiO5Vx0t9YML2SyR9NyI6h7222+3GaDQqcl6grlarpZ2dHc3NzT15bHd3V6dOndLly5cbnAzY71ohr3vXysuvePguSQ/XWQ9oQrvd1nA43HdsOByq3W43NBEwnbp3rXzW9pbtByW9TdIdBWYCZqqqKvV6PQ0GA+3u7mowGKjX66mqqqZHAyZS683OiHhfqUGApjzxhubq6qrG47Ha7bbW1tZ4oxNpFNsjnwZ75AAwvRuyRw4AaB4hB4DkCDkAJEfIASA5Qg4AyRFyAEiOkANAcoQcAJIj5ACQHCEHgOQIOQAkR8gBIDlCDgDJEXIASI6QA0ByhBwAkiPkAJAcIQeA5Ag5ACRHyAFJ/X5fnU5HrVZLnU5H/X6/6ZGAiRUJue1/sx22z5RYD5ilfr+vqqq0vr6unZ0dra+vq6oqYo40aofc9m2S3irpf+qPA8ze2tqaNjc3tbS0pLm5OS0tLWlzc1Nra2tNjwZMpMQV+Rck/bukKLAWMHPj8ViLi4v7ji0uLmo8Hjc0ETCdWiG3/S5Jv4uIXxWaB5i5drut4XC479hwOFS73W5oImA6h4bc9n22tw74ebekStInJzmR7RXbI9uj7e3tunMDxVRVpV6vp8FgoN3dXQ0GA/V6PVVV1fRowEQccbQdEduvkvQjSX/dO3SrpN9Len1E/N/1frfb7cZoNDrSeYEbod/va21tTePxWO12W1VVaXl5uemxgH1sn4+I7lXHjxryA07w35K6EfHHw15LyAFgetcKOfeRA0ByN5VaKCLOlloLADA5rsgBIDlCDgDJEXIASK7YXStTndTelnRh5icGDndG0qF3XgENeUlEzD/1YCMhB56ubI8Our0LeDpjawUAkiPkAJAcIQf222h6AGBa7JEDQHJckQNAcoQckGT7Ltt/sL3V9CzAtAg58LivSDrX9BDAURByQFJE3C/pkabnAI6CkANAcoQcAJIj5ACQHCEHgOQIOSDJdl/STyS9wvZF272mZwImxSc7ASA5rsgBIDlCDgDJEXIASI6QA0ByhBwAkiPkAJAcIQeA5Ag5ACT3D8k/zSBs1rNtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot(x);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bar Chart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.random.rand(7, 3),\n",
    "columns=['a', 'b', 'c'])\n",
    "df.plot(kind='bar', grid=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pie Chart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "txtLabels = 'Cats', 'Dogs', 'Frogs', 'Others'\n",
    "fractions = [45, 30, 15, 10]\n",
    "offsets =(0, 0.05, 0, 0)\n",
    "plt.pie(fractions, explode=offsets, labels=txtLabels,\n",
    "autopct='%1.1f%%', shadow=True, startangle=90,\n",
    "colors=sns.color_palette('muted') );\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bivariate Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1e10cae62e0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "(a,b,c) = np.random.rand(3, 50)\n",
    "plt.scatter(a, b, s=c * 300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3D Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Image saved to 3dGraph.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# imports specific to the plots in this example\n",
    "import numpy as np\n",
    "from matplotlib import cm\n",
    "from mpl_toolkits.mplot3d.axes3d import get_test_data\n",
    "\n",
    "# Twice as wide as it is tall.\n",
    "fig = plt.figure(figsize=plt.figaspect(0.5))\n",
    "\n",
    "#---- First subplot\n",
    "# Note that the declaration \"projection='3d'\"\n",
    "# is required for 3d plots!\n",
    "ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "\n",
    "# Generate the grid\n",
    "X = np.arange(-5, 5, 0.1)\n",
    "Y = np.arange(-5, 5, 0.1)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "# Generate the surface data\n",
    "R = np.sqrt(X ** 2 + Y ** 2)\n",
    "Z = np.sin(R)\n",
    "\n",
    "# Plot the surface\n",
    "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "cmap=cm.GnBu, linewidth=0, antialiased=False)\n",
    "ax.set_zlim3d(-1.01, 1.01)\n",
    "fig.colorbar(surf, shrink=0.5, aspect=10)\n",
    "\n",
    "#---- Second subplot\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "X, Y, Z = get_test_data(0.05)\n",
    "\n",
    "ax.plot_wireframe(X, Y, Z, rstride=10, cstride=10)\n",
    "\n",
    "outfile = '3dGraph.png'\n",
    "plt.savefig(outfile, dpi=200)\n",
    "print(f'Image saved to {outfile}')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[2_VectorsAndMatrices](2_VectorsAndMatrices.ipynb)<img src=\"data\\images\\Forward_Backward.png\" align='middle'>[5_FIR_Filters](5_FIR_Filters.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.10"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
